Monotonicity, interlacing and electrostatic interpretation of zeros of exceptional Jacobi polynomials

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Electrostatic potentials and polarization effects in proton-molecule interactions by means of multipoles from the quantum theory of atoms in molecules

Some atomic multipoles (charges, dipoles and quadrupoles) from the Quantum Theory of Atoms in Molecules (QTAIM) and CHELPG charges are used to investigate interactions between a proton and a molecule (F2, Cl2, BF, AlF, BeO, MgO, LiH, H2CO, NH3, PH3, BF3, and CO2). Calculations were done at the B3LYP/6-311G(3d,3p) level. The main aspect of this work is the investigation of polarization effects over electrostatic potentials and atomic multipoles along a medium to long range of interaction distances. Large electronic charge fluxes and polarization changes are induced by a proton mainly when this positive particle approaches the least electronegative atom of diatomic heteronuclear molecules. The search for simple equations to describe polarization on electrostatic potentials from QTAIM quantities resulted in linear relations with r-4 (r is the interaction distance) for many cases. Moreover, the contribution from atomic dipoles to these potentials is usually the most affected contribution by polarization what reinforces the need for these dipoles to a minimal description of purely electrostatic interactions. Finally, CHELPG charges provide a description of polarization effects on electrostatic potentials that is in disagreement with physical arguments for certain of these molecules. (c) 2012 Wiley Periodicals, Inc.

Analysis of Electrostatic Turbulence Drive in Texas Helimak.

Plasma turbulence and particle transport in Texas Helimak change with the radial electric field profile modified by an external voltage bias. When the bias is positive, the turbulence shows enhanced level and broadband spectra with extreme events, similar to the turbulence in tokamak scrape-‐off layer. However, negative bias reduces the turbulence level and decreases the spectrum widths. Moreover, for negative biased shots, the particle transport is strongly affected by a wave particle resonant interaction. On the other hand, for positive bias values, the plasma presents a transport barrier in the reversed shear flow region.

Fluorescent ionene-dye nanoparticles by electrostatic self-assembly

It is investigated that the association of linear cationic model polyelectrolytes with oppositely charged pyrenetetrasulfonate (PY) in aqueous solution. For this purpose water soluble ionenes were prepared via Menschutkin reaction from 1-4-diazabicyclo [2.2.2] octane and e.g. 1,6-dibromohexane and 1,4 dibromotransbuten. The complex formation between dye molecules PY and oppositely charged ionenes (PD4, PD6, PD4-2 and PD4coPD6) of different chemical structures in aqueous solution was studied by light scattering (LS), small angle neutron scattering (SANS), UV-Vis, fluorescence spectroscopy and atomic force microscopy (AFM). Spectrophotometric titration results revealed that PY molecules were bind to ionenes cooperative process due to π-π interaction. Cooperative binding constant KD was determined as 6.4 x 10^6 M^-1 (+ or - 10^5 M^-1). It was found that binding mode and geometry of PY is predominantly depending on inter-charge distances of corresponding ionenes. Resultant complexes have exhibited size and structure variation as a function of charge ratio (L), ionic strength, inter-charge distances. Spherical dye-ionene complexes of which radius of gyration ranging between (RG) 50 and 190 nm have been observed in PD4-PY system while this was not possible with a different ionene (PD6) or either case ionene excess. It was found that most of the PD4-PY complexes had RG / RH ~ 0.78. Based on the AFM and LS results, spherical complexes have certain colloidal stability and their size can effectively controlled by changing the L.

Electrostatic supramolecular assembly of charged dendritic polymers and their biological application

The aim of this study was the development of functional multilayer films through electrostatic layer by layer (LbL) assembly of dendritic macromolecules, the investigation of the fundamental properties of these multilalyered films and the study of their biological applications. rnThe synthesis of the anionic hyperbranched polyglycerols (hbPG) and the preparation of multilayers made of hbPG/phosphorus dendrimer as well as the influences of deposition conditions on multilayers were reported. The thicknesses of multilayer films increase with a decrease of molecular weight of anionic hbPGs. The multilayer films fabricated by low molecular weight hbPGs grow less regularly due to the less charged carboxylic acid groups providing the relative weaker electrostatic forces for the deposition. The thicknesses of multilayer films are reduced with increasing pH values and decreasing the concentration of NaCl. The observed changes of multilayer thickness and surface morphology could be interpreted with the aid of theories regarding the charge density and conformation of the anionic hbPG chains in solution. rnBesides the study of fundamental properties of hbPG/phosphorus multilayer films, antifouling thin films derived from hbPG layers were developed. The antifouling properties of hbPG layers were found to correlate with factors of the molecular weight of anionic hbPG and the film thickness. It was demonstrated that anionic hbPG single layer with highest molecular weight can reduce non specific protein adsorption more efficiently than single layer with lower molecular weight and all the hbPG bilayers possessed excellent property of antifouling. rnPhosphorus dendrimer multilayers were successfully prepared as the platforms to detect DNA immobilization and hybridization. The effect of NaCl concentration on the multilayer film thickness was evaluated to obtain the optimized film thickness. Making use of the multilayer deposited at the optimized condition as a substrate, a high loading of DNA probes was achieved through covalent coupling of probe DNA with the as-formed multilayer films. The hybridization of target DNA with immobilized probe DNA was then carried out and studied by SPFS. The limit of detection upon hybridization was estimated on various dendrimer multilayer platforms. The minimum detection concentration for DNA hybridization is in the same order of magnitude compared with other neutral phosphorus dendrimer systems. Furthermore, the LbL deposition of phosphorus dendrimer multilayers provided a mild and simple way to prepare platforms as DNA microarrays. rnBased on the phosphorus dendrimer multilayer systems, dendritic star polymers were employed which have more reactive groups than that phosphorus dendrimers. The as-assembled dendritic star polymer multilayer films exhibited such distinct morphology characteristics that they underwent extensive structural reorganization upon post-treatment under different pH conditions. Kinetic binding of probe DNA molecules on the outermost negatively charged dendritic surface was studied by SPR as well. The binding capacities of probe DNA on the multilayer surfaces fabricated from the first-generation and the second-generation of dendritic star polymers were compared. The improved binding capacity was achieved from the second-generation of dendritic star polymer multilayer films due to their more reactive groups. DNA hybridization reaction on dendritic multilayer films was investigated by SPFS. The similar hybridization behaviors were found on both multilayer surfaces. Meanwhile, the hybridization kinetic affinities were compared with that of phosphorus dendrimer multilayer surfaces and showed improved detection sensitivity than phosphorus dendrimer multilayer films.rn

Control design and genetic algorithm optimization for electrostatic MEMS

This dissertation discusses structural-electrostatic modeling techniques, genetic algorithm based optimization and control design for electrostatic micro devices. First, an alternative modeling technique, the interpolated force model, for electrostatic micro devices is discussed. The method provides improved computational efficiency relative to a benchmark model, as well as improved accuracy for irregular electrode configurations relative to a common approximate model, the parallel plate approximation model. For the configuration most similar to two parallel plates, expected to be the best case scenario for the approximate model, both the parallel plate approximation model and the interpolated force model maintained less than 2.2% error in static deflection compared to the benchmark model. For the configuration expected to be the worst case scenario for the parallel plate approximation model, the interpolated force model maintained less than 2.9% error in static deflection while the parallel plate approximation model is incapable of handling the configuration. Second, genetic algorithm based optimization is shown to improve the design of an electrostatic micro sensor. The design space is enlarged from published design spaces to include the configuration of both sensing and actuation electrodes, material distribution, actuation voltage and other geometric dimensions. For a small population, the design was improved by approximately a factor of 6 over 15 generations to a fitness value of 3.2 fF. For a larger population seeded with the best configurations of the previous optimization, the design was improved by another 7% in 5 generations to a fitness value of 3.0 fF. Third, a learning control algorithm is presented that reduces the closing time of a radiofrequency microelectromechanical systems switch by minimizing bounce while maintaining robustness to fabrication variability. Electrostatic actuation of the plate causes pull-in with high impact velocities, which are difficult to control due to parameter variations from part to part. A single degree-of-freedom model was utilized to design a learning control algorithm that shapes the actuation voltage based on the open/closed state of the switch. Experiments on 3 test switches show that after 5-10 iterations, the learning algorithm lands the switch with an impact velocity not exceeding 0.2 m/s, eliminating bounce.

Analytical Parametric Model Used to Study the Influence of Electrostatic Force on Surface Coverage During Electrospinning of Polymer Fibers

Electrospinning (ES) can readily produce polymer fibers with cross-sectional dimensions ranging from tens of nanometers to tens of microns. Qualitative estimates of surface area coverage are rather intuitive. However, quantitative analytical and numerical methods for predicting surface coverage during ES have not been covered in sufficient depth to be applied in the design of novel materials, surfaces, and devices from ES fibers. This article presents a modeling approach to ES surface coverage where an analytical model is derived for use in quantitative prediction of surface coverage of ES fibers. The analytical model is used to predict the diameter of circular deposition areas of constant field strength and constant electrostatic force. Experimental results of polyvinyl alcohol fibers are reported and compared to numerical models to supplement the analytical model derived. The analytical model provides scientists and engineers a method for estimating surface area coverage. Both applied voltage and capillary-to-collection-plate separation are treated as independent variables for the analysis. The electric field produced by the ES process was modeled using COMSOL Multiphysics software to determine a correlation between the applied field strength and the size of the deposition area of the ES fibers. MATLAB scripts were utilized to combine the numerical COMSOL results with derived analytical equations. Experimental results reinforce the parametric trends produced via modeling and lend credibility to the use of modeling techniques for the qualitative prediction of surface area coverage from ES. (Copyright: 2014 American Vacuum Society.)

The roles of electrostatic charge pairing in the interaction between cytochrome P-450 and NADPH-cytochrome P-450 reductase

The cytochrome P450 enzyme catalysis requires two electrons transferred from NADPH-cytochrome P450 reductase (reductase) to P450. Electrostatic charge-pairing has been proposed to be one of the major forces in the interaction between P450 and reductase. In order to obtain further insight into the molecular basis for the protein interaction, I used two methods, chemical modification and specific anti-peptide antibodies, to study the involvement and importance of charged amino acid residues. Acetylation of lysine residues of P450c and P450b by acetic anhydride dramatically inhibited the reductase-supported P450c-dependent ethoxycoumarin hydroxylation activity, but P450 activity supported by cumene hydroperoxide is relatively unchanged. The modification of lysine residues of P450c and P450b did not grossly disturb the protein conformation as revealed by several spectral studies. This differential effect of lysine modification on the P450 activity in the system reconstituted with reductase versus the system supported by cumene hydroperoxide suggested an important role for P450 lysine residues in the interaction with reductase. Using $\rm\sp{14}C$-acetic anhydride, P450 lysine residues were labelled and further identified on P450c and P450b. Those lysine residues are at position 97, 271, 279, and 407 for P450c, and 251, 384, 422, 433, and 473 for P450b. Alignment of those identified lysine residues on P450c and P450b with amino acid residues identified in other studies indicated those residues reside in three major sequence areas. Modification of arginine residues of P450b by phenylglyoxal and 2, 3-butanedione have no significant effect on P450 activity either supported by NADPH and reductase or supported by cumene hydroperoxide. Further studies using $\rm\sp{14}C$-phenylglyoxal reveals that no incorporation of phenylglyoxal into P450b was found. These results demonstrated a predominant role of lysine residues of P450 in the electrostatic interaction with reductase. To understand the protein binding sites on each of P450 and reductase, I generated three anti-peptide antibodies against regions on reductase and five anti-peptide antibodies against five putative reductase binding sites on P450c. These anti-peptide antibodies were affinity purified and characterized on ELISA and by Western blot analysis. Inhibition experiments using these antibodies demonstrated that regions 109-120 and 204-220 of reductase are probably the two major binding sites for P450. The association of reductase with cytochromes P450 and cytochrome c may rely on different mechanisms. The data from experiments using anti-peptide (P450c) antibodies supports the important role of P450c lysine residues 271/279 and 458/460 in the interaction with reductase. ^

Influence of perylenediimide–pyrene supramolecular interactions on the stability of DNA-based hybrids: Importance of electrostatic complementarity

Aromatic pi–pi stacking interactions are ubiquitous in nature, medicinal chemistry and materials sciences. They play a crucial role in the stacking of nucleobases, thus stabilising the DNA double helix. The following paper describes a series of chimeric DNA–polycyclic aromatic hydrocarbon (PAH) hybrids. The PAH building blocks are electron-rich pyrene and electron-poor perylenediimide (PDI), and were incorporated into complementary DNA strands. The hybrids contain different numbers of pyrene–PDI interactions that were found to directly influence duplex stability. As the pyrene–PDI ratio approaches 1:1, the stability of the duplexes increases with an average value of 7.5 °C per pyrene–PDI supramolecular interaction indicating the importance of electrostatic complementarity for aromatic pi–pi stacking interactions.

Role of electrostatic interactions for ligand recognition and specificity of peptide transporters.

BACKGROUND Peptide transporters are membrane proteins that mediate the cellular uptake of di- and tripeptides, and of peptidomimetic drugs such as β-lactam antibiotics, antiviral drugs and antineoplastic agents. In spite of their high physiological and pharmaceutical importance, the molecular recognition by these transporters of the amino acid side chains of short peptides and thus the mechanisms for substrate binding and specificity are far from being understood. RESULTS The X-ray crystal structure of the peptide transporter YePEPT from the bacterium Yersinia enterocolitica together with functional studies have unveiled the molecular bases for recognition, binding and specificity of dipeptides with a charged amino acid residue at the N-terminal position. In wild-type YePEPT, the significant specificity for the dipeptides Asp-Ala and Glu-Ala is defined by electrostatic interaction between the in the structure identified positively charged Lys314 and the negatively charged amino acid side chain of these dipeptides. Mutagenesis of Lys314 into the negatively charged residue Glu allowed tuning of the substrate specificity of YePEPT for the positively charged dipeptide Lys-Ala. Importantly, molecular insights acquired from the prokaryotic peptide transporter YePEPT combined with mutagenesis and functional uptake studies with human PEPT1 expressed in Xenopus oocytes also allowed tuning of human PEPT1's substrate specificity, thus improving our understanding of substrate recognition and specificity of this physiologically and pharmaceutically important peptide transporter. CONCLUSION This study provides the molecular bases for recognition, binding and specificity of peptide transporters for dipeptides with a charged amino acid residue at the N-terminal position.